21100033032000 has 672 divisors, whose sum is σ = 76908306139392. Its totient is φ = 5067048960000.

The previous prime is 21100033031971. The next prime is 21100033032049. The reversal of 21100033032000 is 23033000112.

It is a super-2 number, since 2×21100033032000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 524451885 + ... + 524492115.

It is an arithmetic number, because the mean of its divisors is an integer number (114446884136).

Almost surely, 2^{21100033032000} is an apocalyptic number.

21100033032000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100033032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38454153069696).

21100033032000 is an abundant number, since it is smaller than the sum of its proper divisors (55808273107392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21100033032000 is a wasteful number, since it uses less digits than its factorization.

21100033032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40356 (or 40295 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21100033032000 its reverse (23033000112), we get a palindrome (21123066032112).

The spelling of 21100033032000 in words is "twenty-one trillion, one hundred billion, thirty-three million, thirty-two thousand".